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Finding the Third Proportional to 381.25 and 539.88

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Solution

The third proportional to 381.25 and 539.88 is: 764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.25 : 539.88 = 539.88 : x
  2. Step 2: Convert to fraction form
    381.25/539.88 = 539.88/x
  3. Step 3: Cross multiply
    381.25x = 539.88 × 539.88
  4. Step 4: Simplify right side
    381.25x = 291,465.02
  5. Step 5: Solve for x
    x = 291,465.02/381.25
  6. Step 6: Final answer
    x = 764.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.